Accounting of spontaneous magnetic fields in Focus 3D code

To study the interaction of laser radiation with matter, the Focus 3D code is being developed. The Focus 3D code uses the finite volume method. Within the framework of the program, the solution of the equations of ideal magnetic gas dynamics in conservation-law form is realized. To remove the divergence of the magnetic field, the projection scheme is used. Accounting of spontaneous magnetic fields is realized. Test problems are proposed with an analytical solution for verifying the correctness of numerical realization of accounting for spontaneous magnetic fields. A second order of approximation is obtained for calculating the gradient of smooth functions by the Gauss gradient theorem. The convergence of the solution of the problem to an analytic solution on refined grids is shown. (paper)